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german
3 years ago
14

What are the steps to solve d=1/e + 1/f for e ?

Mathematics
1 answer:
konstantin123 [22]3 years ago
8 0

Solve for e

d = 1/e + 1/f

Move 1/f to the left side of the = sign

d - 1/f = 1/e

Multiply each side by e

e(d - 1/f) =  e(1/e)

e(d - 1/f) = 1

Divide out (d - 1/f)

e(d - 1/f) / (d - 1/f) = 1 / (d - 1/f)

e = 1 / (d - 1/f)

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Which transformations have been applied to the graph of f(x) = x2 to produce the graph of g(x) = –5x2 + 100x – 450? Select three
RSB [31]

Answer:

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

Step-by-step explanation:

we have

f(x)=x^{2}

This is a vertical parabola open upward

The vertex is a minimum

The vertex is the origin (0,0)

g(x)=-5x^{2}+100x-450

This is a vertical parabola open downward

The vertex is a maximum

The first thing to note is that fx) is a parabola that opens up and g(x) opens down, so a reflection across the x-axis must have been applied.

Find the vertex of g(x)

Convert to vertex form

g(x)=-5x^{2}+100x-450

Complete the square

g(x)=-5(x^{2}-20x)-450

g(x)=-5(x^{2}-20x+100)-450+500

g(x)=-5(x^{2}-20x+100)+50

g(x)=-5(x-10)^{2}+50

The vertex is the point (10,50)

so

To translate the vertex of (0,0) to (10,50)

The rule of the translation is

(x,y) ------> (x+10,y+50)

That means ----> The translation is 10 units at right and 50 units up

therefore

The transformations are

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

5 0
3 years ago
Read 2 more answers
Joe is riding his bicycle. He rides for 3 hours at a speed of 4.8 kilometers per hour. For how many kilometers does he ride?
eduard

Answer:

14.4km

Step-by-step explanation:

<h2>Speed = distance / time </h2>
  • speed = 4.8 km/h
  • time = 3 hrs
  • distance = ?

Distance = speed  * time

Distance = 4.8 * 3 = 14.4km

5 0
2 years ago
Ben buys bottles of sports drinks from the store for $2 each and takes them to his school's football games. He sells
Soloha48 [4]

Answer:

15

Step-by-step explanation

We divide the amount he's selling them for, by the amount of money he needs to make.

75 divided by 5 equals 15.

He needs to sell 15 sports drinks to make $75.

3 0
3 years ago
Read 2 more answers
What is 1/2 of 14? this is an algebraic expression!!
Vikentia [17]
1/2 of 14 is 7. multiply 14/1 to 1/2.
3 0
2 years ago
In converting 30 pounds to ounces, what unit (omit the number) would you
gladu [14]

Step-by-step explanation:

to convert pounds into ounces you'd

actually multiply 16 by 30:

30 * 16

you're doing this because if one pound equals 16 ounces, if you have 30 pounds then you must've had more ounces. therefore you'd multiply.

which is 480 pounds

Enjoy!

6 0
3 years ago
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